Results 41 to 50 of about 91,052 (310)
Elliptic equations in $R^2$ with nonlinearities in the critical growth range [PDF]
Calculus of Variations and Partial Differential Equations, 1995 Two dimensional semilinear elliptic Dirichlet problems \((*)\) \(-\Delta u = f(x,u)\) in \(\Omega\), \(u |_{\partial \Omega} = 0\) are considered, where \(\Omega \subset \mathbb{R}^ 2\) is a bounded domain. Here \(f\) is of critical growth; as a byproduct, the authors also obtain results for subcritical \(f\).
de Figueiredo, D. G. +2 more
openaire +2 more sources
Boundary Value Problems, 2021 The structural stability for the Forchheimer fluid interfacing with a Darcy fluid in a bounded region in R 3 $\mathbb{R}^{3}$ was studied. We assumed that the nonlinear fluid was governed by the Forchheimer equations in Ω 1 $\Omega _{1}$ , while in Ω 2 $\
Jincheng Shi, Yan Liu
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Fractal and Fractional, 2022 In this paper, an implicit difference scheme is proposed and analyzed for a class of nonlinear fourth-order equations with the multi-term Riemann–Liouvile (R–L) fractional integral kernels.
Xiaoxuan Jiang +3 more
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Molecular Oncology, EarlyView.Many patients with urothelial cancer do not benefit from treatment with pembrolizumab, while at risk of severe side effects. Changes in the levels of circulating tumor DNA early during treatment, measured by a simple and affordable assay that can be easily implemented in the clinic, can be used as a prognostic tool to identify these patients.
Youssra Salhi +14 more
wiley +1 more source
Linearisation of a second-order nonlinear ordinary differential equation
Acta Polytechnica, 2023 We analyse nonlinear second-order differential equations in terms of algebraic properties by reducing a nonlinear partial differential equation to a nonlinear second-order ordinary differential equation via the point symmetry f(v)∂v.
Adhir Maharaj +3 more
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Molecular Oncology, EarlyView.The novel styrylquinazolinone‐based molecule W1B effectively suppresses glioblastoma by inhibiting IGF1R and EGFR. In high‐glucose microenvironments driving tumor resistance, W1B acts synergistically with the EGFR inhibitor dacomitinib. This combination safely blocks compensatory survival signaling in zebrafish xenograft models. Showcasing promising in
Patryk Rurka +9 more
wiley +1 more source
FEBS Open Bio, EarlyView.Enzymes of the 2‐hydroxyacyl‐CoA lyase group catalyze the condensation of formyl‐CoA with aldehydes or ketones. Thus, by structural adaptation of active sites, practically any pharmaceutically and industrially important 2‐hydroxyacid could be biotechnologically synthesized. Combining crystal structure analysis, active site mutations and kinetic assays,
Michael Zahn +4 more
wiley +1 more source
Analysis of complex nonlinear reaction-diffusion equations [PDF]
, 2008 A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
core
FEBS Open Bio, EarlyView.Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero +5 more
wiley +1 more source
Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer
Aging and Cancer, EarlyView.Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss +12 more
wiley +1 more source